Two students are going to the store to buy school supplies for the new school year. One of the students buys 2 packs of pencils and 3 packs of pens for $8.25. Her friend purchases 5 packs of pencils and 2 packs of pens for $11.00. Is there enough information to determine the cost of 1 pack of pencils and 1 pack of pens? Explain why or why not.

Yes, it's enough information

Step-by-step explanation:

yes, there is enough information to determine the cost of 1 pack of pencils and 1 pack of pens

we just need an algebra of elimination and substition to find the coat of each. like this:

pencils = C

pen = N

2 C + 3 N = 8.25 (times by 2)

5 C + 2 N = 11.00 (times by 3)

- (we eliminate the N)

4 C + 6 N = 16.50

15 C + 6 N = 33.00

-

-11 C = - 16.5

C = (-16.5) : (-11) = $ 1.50

so the price of 1 pack of pencils is $ 1.50

now we use subtitution to find the price of 1 pack of pens

2 C + 3 N = 8.25

2 (1.50) + 3 N = 8.25

3.00 + 3 N = 8.25

3 N = 8.25 - 3.00

3 N = 5.25

N = 5.25 : 3 = $ 1.75

so the price of 1 pack of pencils is $ 1.75

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.